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Finding the Fourth Proportional to 19,676.16, 29,519.46 and 7,983

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Solution

The fourth proportional to 19,676.16, 29,519.46 and 7,983 is: 11,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.16 : 29,519.46 = 7,983 : x
  2. Step 2: Convert to fraction form
    19,676.16/29,519.46 = 7,983/x
  3. Step 3: Cross multiply
    19,676.16x = 29,519.46 × 7,983
  4. Step 4: Simplify right side
    19,676.16x = 235,653,849.18
  5. Step 5: Solve for x
    x = 235,653,849.18/19,676.16
  6. Step 6: Final answer
    x = 11,976.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.